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212433210313440 = 2535442569188153
BaseRepresentation
bin110000010011010011110110…
…000010100000101011100000
31000212011102020200100020212120
4300103103312002200223200
5210321001203320012230
62031450245232024240
762513535662253354
oct6023236602405340
91025142220306776
10212433210313440
1161762467110586
121b9aab90392080
13916c49a7c1b2c
143a65b72321464
151985d1e26b310
hexc134f60a0ae0

212433210313440 has 48 divisors (see below), whose sum is σ = 669164612488848. Its totient is φ = 56648856083456.

The previous prime is 212433210313411. The next prime is 212433210313507. The reversal of 212433210313440 is 44313012334212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221284593597 + ... + 221284594556.

It is an arithmetic number, because the mean of its divisors is an integer number (13940929426851).

Almost surely, 2212433210313440 is an apocalyptic number.

212433210313440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212433210313440 is an abundant number, since it is smaller than the sum of its proper divisors (456731402175408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212433210313440 is a wasteful number, since it uses less digits than its factorization.

212433210313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442569188171 (or 442569188163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 212433210313440 its reverse (44313012334212), we get a palindrome (256746222647652).

The spelling of 212433210313440 in words is "two hundred twelve trillion, four hundred thirty-three billion, two hundred ten million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 442569188153 885138376306 1327707564459 1770276752612 2212845940765 2655415128918 3540553505224 4425691881530 5310830257836 6638537822295 7081107010448 8851383763060 10621660515672 13277075644590 14162214020896 17702767526120 21243321031344 26554151289180 35405535052240 42486642062688 53108302578360 70811070104480 106216605156720 212433210313440